Question

a rectangular park has an area of 1.36×10th to the eighth power feet to the second power of the park is 1.6×10 to the fourth power divide the area by the link to find the width of the park

Answer 1

To find the width of the rectangular park, we can use the formula for the area of a rectangle:

\[
\text{Area} = \text{Length} \times \text{Width}
\]

Given:
- Area = \(1.36 \times 10^8\) square feet
- Length = \(1.6 \times 10^4\) feet

We can rearrange the formula to find the width:

\[
\text{Width} = \frac{\text{Area}}{\text{Length}}
\]

Now, substituting in the values:

\[
\text{Width} = \frac{1.36 \times 10^8}{1.6 \times 10^4}
\]

To perform the division of the coefficients and the powers of ten:

1. Divide the coefficients:
\[
\frac{1.36}{1.6} = 0.85
\]

2. Divide the powers of ten:
\[
\frac{10^8}{10^4} = 10^{8-4} = 10^4
\]

Now combine these results:

\[
\text{Width} = 0.85 \times 10^4
\]

To convert \(0.85 \times 10^4\) to standard form, we can rewrite it:

\[
0.85 \times 10^4 = 8.5 \times 10^3
\]

Thus, the width of the park is:

\[
\text{Width} = 8.5 \times 10^3 \text{ feet} = 8500 \text{ feet}
\]

So, the width of the park is 8500 feet.